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Large volumes of spatiotemporal data, characterized by high spatial and temporal variability, may experience structural changes over time. Unlike traditional change-point problems, each sequence in this context consists of function-valued…

Methodology · Statistics 2025-06-12 Fengyi Song , Decai Liang , Changliang Zou

Non-Bayesian social learning enables multiple agents to conduct networked signal and information processing through observing environmental signals and information aggregating. Traditional non-Bayesian social learning models only consider…

Social and Information Networks · Computer Science 2024-07-31 Dongyan Sui , Weichen Cao , Stefan Vlaski , Chun Guan , Siyang Leng

We study the detection of change-points in time series. The classical CUSUM statistic for detection of jumps in the mean is known to be sensitive to outliers. We thus propose a robust test based on the Wilcoxon two-sample test statistic.…

Statistics Theory · Mathematics 2013-04-10 Herold Dehling , Roland Fried , Isabel García , Martin Wendler

Moments when a time series changes its behavior are called change points. Occurrence of change point implies that the state of the system is altered and its timely detection might help to prevent unwanted consequences. In this paper, we…

Machine Learning · Computer Science 2026-03-10 Mikhail Hushchyn , Kenenbek Arzymatov , Denis Derkach

In this paper easily applicable techniques are devised for detecting changepoints in autocorrelated Gaussian sequences. Our method proceeds by sequential evaluation of a CUSUM-type test statistic, which is compared to a predefined…

Probability · Mathematics 2016-02-09 W. Ellens , J. Kuhn , M. Mandjes , P. Żuraniewski

In this paper, we present a change point detection method for detecting change points in multivariate nonstationary wind speed time series. The change point method identifies changes in the covariance structure and decomposes the…

Methodology · Statistics 2021-05-25 Sakitha Ariyarathne , Harsha Gangammanavar , Raanju R. Sundararajan

This paper develops change-point methods for the spectrum of a locally stationary time series. We focus on series with a bounded spectral density that change smoothly under the null hypothesis but exhibits change-points or becomes less…

Statistics Theory · Mathematics 2024-08-08 Alessandro Casini , Pierre Perron

We consider the sequential change-point detection for asynchronous multi-sensors, where each sensor observe a signal (due to change-point) at different times. We propose an asynchronous Subspace-CUSUM procedure based on jointly estimating…

Applications · Statistics 2019-01-25 Liyan Xie , Yao Xie , George V. Moustakides

This paper addresses the problem of change-point detection on sequences of high-dimensional and heterogeneous observations, which also possess a periodic temporal structure. Due to the dimensionality problem, when the time between…

Machine Learning · Statistics 2019-03-25 Pablo Moreno-Muñoz , David Ramírez , Antonio Artés-Rodríguez

We present a detection problem where several spatially distributed sensors observe Poisson signals emitted from a single source of unknown position. The measurements at each sensor are modeled by independent inhomogeneous Poisson processes.…

Statistics Theory · Mathematics 2018-06-19 Christian Farinetto , Yury A. Kutoyants , Alioune Top

In this paper, we consider a change-point problem for a centered, stationary and $m$-dependent multivariate random field. Under the distribution free assumption, a change-point test using CUSUM statistic is proposed to detect anomalies…

Statistics Theory · Mathematics 2024-06-28 Vitalii Makogin , Duc Nguyen

Multiple change point (MCP) detection in non-stationary time series is challenging due to the variety of underlying patterns. To address these challenges, we propose a novel algorithm that integrates Active Learning (AL) with Deep Gaussian…

Machine Learning · Computer Science 2025-05-28 Hao Zhao , Rong Pan

Dynamic networks exhibit temporal patterns that vary across different time scales, all of which can potentially affect processes that take place on the network. However, most data-driven approaches used to model time-varying networks…

Physics and Society · Physics 2017-12-27 Tiago P. Peixoto , Laetitia Gauvin

The aim of the present study is to detect abrupt trend changes in the mean of a multidimensional sequential signal. Directly inspired by papers of Fernhead and Liu ([4] and [5]), this work describes the signal in a hierarchical manner : the…

Machine Learning · Computer Science 2021-06-11 Olivier Sorba , C Geissler

We propose an unsupervised anomaly detection approach based on a physics-informed diffusion model for multivariate time series data. Over the past years, diffusion model has demonstrated its effectiveness in forecasting, imputation,…

Machine Learning · Computer Science 2025-08-18 Juhi Soni , Markus Lange-Hegermann , Stefan Windmann

We introduce a new approach for decoupling trends (drift) and changepoints (shifts) in time series. Our locally adaptive model-based approach for robustly decoupling combines Bayesian trend filtering and machine learning based…

Methodology · Statistics 2024-01-09 Haoxuan Wu , Toryn L. J. Schafer , Sean Ryan , David S. Matteson

Several techniques for multivariate time series anomaly detection have been proposed recently, but a systematic comparison on a common set of datasets and metrics is lacking. This paper presents a systematic and comprehensive evaluation of…

Machine Learning · Computer Science 2021-09-24 Astha Garg , Wenyu Zhang , Jules Samaran , Savitha Ramasamy , Chuan-Sheng Foo

While there have been a lot of recent developments in the context of Bayesian model selection and variable selection for high dimensional linear models, there is not much work in the presence of change point in literature, unlike the…

Methodology · Statistics 2021-02-26 Nilabja Guha , Jyotishka Datta

Piecewise growth mixture models (PGMM) are a flexible and useful class of methods for analyzing segmented trends in individual growth trajectory over time, where the individuals come from a mixture of two or more latent classes. These…

Methodology · Statistics 2018-10-18 Eric F Lock , Nidhi Kohli , Maitreyee Bose

Detecting a change point is a crucial task in statistics that has been recently extended to the quantum realm. A source state generator that emits a series of single photons in a default state suffers an alteration at some point and starts…